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Finding the Third Proportional to 165,715.88 and 255,043.69

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Solution

The third proportional to 165,715.88 and 255,043.69 is: 392,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,715.88 : 255,043.69 = 255,043.69 : x
  2. Step 2: Convert to fraction form
    165,715.88/255,043.69 = 255,043.69/x
  3. Step 3: Cross multiply
    165,715.88x = 255,043.69 × 255,043.69
  4. Step 4: Simplify right side
    165,715.88x = 65,047,282,533.60
  5. Step 5: Solve for x
    x = 65,047,282,533.60/165,715.88
  6. Step 6: Final answer
    x = 392,522.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.